function [ n_data, x, fx ] = bessel_i1_spherical_values ( n_data ) %*****************************************************************************80 % %% BESSEL_I1_SPHERICAL_VALUES returns some values of the Spherical Bessel function i1. % % Discussion: % % In Mathematica, the function can be evaluated by: % % Sqrt[Pi/(2*x)] * BesselI[3/2,x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 06 January 2007 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz, Irene Stegun, % Handbook of Mathematical Functions, % National Bureau of Standards, 1964, % LC: QA47.A34, % ISBN: 0-486-61272-4. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % Parameters: % % Input/output, integer N_DATA. The user sets N_DATA to 0 before the % first call. On each call, the routine increments N_DATA by 1, and % returns the corresponding data; when there is no more data, the % output value of N_DATA will be 0 again. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 21; fx_vec = [ ... 0.03336667857363341E+00, ... 0.06693371456802954E+00, ... 0.1354788933285401E+00, ... 0.2072931911031093E+00, ... 0.2841280857128948E+00, ... 0.3678794411714423E+00, ... 0.4606425870674146E+00, ... 0.5647736480096238E+00, ... 0.6829590627779635E+00, ... 0.8182955028627777E+00, ... 0.9743827435800610E+00, ... 1.155432469636406E+00, ... 1.366396525527973E+00, ... 1.613118767572064E+00, ... 1.902515460838681E+00, ... 2.242790117769266E+00, ... 2.643689828630357E+00, ... 3.116811526884873E+00, ... 3.675968313148932E+00, ... 4.337627987747642E+00, ... 5.121438384183637E+00 ]; x_vec = [ ... 0.1E+00, ... 0.2E+00, ... 0.4E+00, ... 0.6E+00, ... 0.8E+00, ... 1.0E+00, ... 1.2E+00, ... 1.4E+00, ... 1.6E+00, ... 1.8E+00, ... 2.0E+00, ... 2.2E+00, ... 2.4E+00, ... 2.6E+00, ... 2.8E+00, ... 3.0E+00, ... 3.2E+00, ... 3.4E+00, ... 3.6E+00, ... 3.8E+00, ... 4.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; x = 0.0; fx = 0.0; else x = x_vec(n_data); fx = fx_vec(n_data); end return end